Automatic construction of systems of recurrence relations
USSR Computational Mathematics and Mathematical Physics
Chains of recurrences—a method to expedite the evaluation of closed-form functions
ISSAC '94 Proceedings of the international symposium on Symbolic and algebraic computation
From honest to intelligent plotting
ISSAC '95 Proceedings of the 1995 international symposium on Symbolic and algebraic computation
Simplification and optimization transformations of chains of recurrences
ISSAC '95 Proceedings of the 1995 international symposium on Symbolic and algebraic computation
Chains of recurrences
Maple V: programming guide
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
The art of computer programming, volume 2 (3rd ed.): seminumerical algorithms
Multidimensional chains of recurrences
ISSAC '98 Proceedings of the 1998 international symposium on Symbolic and algebraic computation
Accuracy and Stability of Numerical Algorithms
Accuracy and Stability of Numerical Algorithms
Concrete Math
The Theory of Parsing, Translation, and Compiling
The Theory of Parsing, Translation, and Compiling
Mapping Techniques for Parallel Evaluation of Chains of Recurrences
IPPS '96 Proceedings of the 10th International Parallel Processing Symposium
Automatic SIMD vectorization of chains of recurrences
Proceedings of the 22nd annual international conference on Supercomputing
Induction variable analysis with delayed abstractions
HiPEAC'05 Proceedings of the First international conference on High Performance Embedded Architectures and Compilers
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Backward and mixed chains of recurrences are introduced. A complete set of chains of recurrences manipulation tools is described. Applications of these tools, related to the safety and numeric stability of chained computations are given.